How do you determine the number of ways a computer can randomly generate an integer that is divisible by 4 from 1 through 12?
"Number of ways":
The question is quite vague and unclear; there are two possible ways to interpret this question:
Assuming that you are asking for the number of possible integers that are divisible by 4 from 1 through 12, then there would be 3; 4, 8, and 12.
Assuming that you are asking for the probability that a computer will generate a number divisible by 4 if it randomly generates integers from 1 to 12 inclusive:
There are a total of 12 integers from 1 through 12. Three of these integers are divisible by 4: 4, 8, and 12.
Probability is measured as
Here, the specified result is "divisible by 4", and the number of ways to get a number divisible by 4 is 3. The total possible number of results is 12, since there are a total of 12 integers to choose from.
Hence, the probability of picking a number divisible by 4 is